Disjoint Blocks in a MOL(6)

Author:

Betten Dieter

Abstract

AbstractWe prove that the maximal number of pairwise disjoint 4-blocks in a MOL(6) is 3. We recall various proofs for the non-existence of a MOL(6) and show: with the theorem the proofs can be simplified considerably.

Funder

Christian-Albrechts-Universität zu Kiel

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference13 articles.

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2. Betten, A., Betten, D.: There is no Drake/Larson linear space on 30 points. J. of Comb. Designs 18, 48–70 (2010)

3. Betten, D.: Zum Satz von Euler–Tarry. Der mathematische und naturwissenschaftliche Unterricht 36, 449–453 (1983)

4. Betten, D.: Die 12 lateinischen Quadrate der Ordnung 6. Mitteilungen Math. Sem. Giessen 136, 181–188 (1984)

5. Betten, D.: The Reye configuration in a MOL(6). Mitteilungen Math. Ges. Hamburg 39, 1–18 (2019)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A direct proof of the non-existence of a MOL(6);Journal of Geometry;2023-03-18

2. The geometric reason for the non-existence of a MOL(6);Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2022-01-07

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